322 citations · 1.1k across the 87 of their papers we have counts for
10 papers · 1 filter
J-matrix method of scattering for inverse-square singular potentials with supercritical coupling II. Regularization
Abdulaziz D. Alhaidari, Hocine Bahlouli, S. M. Al-Marzoug +1
This paper is a continuation of the previous one [Journal xx, xxxxx (2022)]. Here, we reformulate the same J-matrix theory by regularizing the inverse square singular potential. Th…
Bound states and the potential parameter spectrum
A. D. Alhaidari, H. Bahlouli
In this article, we answer the following question: If the wave equation possesses bound states but it is exactly solvable for only a single non-zero energy, can we find all bound s…
Exact solvability of two new 3D and 1D nonrelativistic potentials within the TRA framework
I. A. Assi, H. Bahlouli, A. Hamdan
This work is concerned about introducing two new 1D and 3D confined potentials and present their solutions using the Tridiagonal Representation Approach (TRA). The wavefunction is…
Analytical solutions of the Dirac equation using the Tridiagonal Representation Approach: General study, limitations, and possible applications
Ibsal. Assi, Hocine Bahlouli
This paper aims at extending our previous work on the solution of the one-dimensional Dirac equation using the Tridiagonal Representation Approach (TRA). In the approach, we expand…
Extending the class of solutions of the Dirac equation using tridiagonal matrix representations
A. D. Alhaidari, H. Bahlouli, I. A. Assi
The aim of this work is to find exact solutions of the one-dimensional Dirac equation that do not belong to the already known conventional class. We write the spinor wavefunction a…
Factorization of Dirac Equation in Two Space Dimensions
Hocine Bahlouli, Ahmed Jellal, Youness Zahidi
We present a systematic approach for the separation of variables for the two-dimensional Dirac equation in polar coordinates. The three vector potential, which couple to the Dirac…